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Volumn 133, Issue 1, 2008, Pages 131-149

The phase diagram of the quantum curie-weiss model

Author keywords

Feynman Kac transformation; Ising model; Large deviations; Mean field theory; Phase diagrams; Quantum spin systems; Random current representation

Indexed keywords


EID: 52149115128     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-008-9608-x     Document Type: Article
Times cited : (37)

References (22)
  • 1
    • 33644572993 scopus 로고
    • 4 fields and Ising models. I, II
    • 4 fields and Ising models. I, II Commun. Math. Phys. 86 1 48
    • (1982) Commun. Math. Phys. , vol.86 , pp. 1-48
    • Aizenman, M.1
  • 3
    • 0000099356 scopus 로고
    • On the critical behavior of the magnetization in high-dimensional Ising models
    • M. Aizenman R. Fernández 1986 On the critical behavior of the magnetization in high-dimensional Ising models J. Statist. Phys. 44 393 454
    • (1986) J. Statist. Phys. , vol.44 , pp. 393-454
    • Aizenman, M.1    Fernández, R.2
  • 6
    • 0001748544 scopus 로고
    • Large deviations and stochastic homogenization
    • 4
    • P. Baldi 1988 Large deviations and stochastic homogenization Ann. Mat. Pura Appl. 151 4 161 177
    • (1988) Ann. Mat. Pura Appl. , vol.151 , pp. 161-177
    • Baldi, P.1
  • 7
    • 0010234927 scopus 로고
    • Localization in the ground state of the Ising model with a random transverse field
    • M. Campanino A. Klein J.F. Perez 1991 Localization in the ground state of the Ising model with a random transverse field Commun. Math. Phys. 135 499 515
    • (1991) Commun. Math. Phys. , vol.135 , pp. 499-515
    • Campanino, M.1    Klein, A.2    Perez, J.F.3
  • 10
    • 36749111309 scopus 로고
    • Equilibrium states for mean field models
    • M. Fannes H. Spohn A. Verbeure 1980 Equilibrium states for mean field models J. Math. Phys. 21 355 360
    • (1980) J. Math. Phys. , vol.21 , pp. 355-360
    • Fannes, M.1    Spohn, H.2    Verbeure, A.3
  • 11
    • 0003048960 scopus 로고
    • Phase transitions and reflection positivity. I. General theory and long-range lattice models
    • 1
    • J. Fröhlich R. Israel E.H. Lieb B. Simon 1978 Phase transitions and reflection positivity. I. General theory and long-range lattice models Commun. Math. Phys. 62 1 1 34
    • (1978) Commun. Math. Phys. , vol.62 , pp. 1-34
    • Fröhlich, J.1    Israel, R.2    Lieb, E.H.3    Simon, B.4
  • 12
    • 85204050363 scopus 로고    scopus 로고
    • Space-time percolation
    • arXiv:0705.0506v1[math.PR]
    • Grimmett, G.: Space-time percolation. Preprint, arXiv:0705.0506v1 [math.PR]
    • Preprint
    • Grimmett, G.1
  • 13
    • 0037329695 scopus 로고    scopus 로고
    • Broken replica symmetry bounds in the mean field spin glass model
    • 1
    • F. Guerra 2003 Broken replica symmetry bounds in the mean field spin glass model Commun. Math. Phys. 233 1 1 12
    • (2003) Commun. Math. Phys. , vol.233 , pp. 1-12
    • Guerra, F.1
  • 14
    • 55349105707 scopus 로고    scopus 로고
    • Stochastic geometry of classical and quantum Ising models
    • LNM. Springer, Berlin
    • Ioffe, D.: Stochastic geometry of classical and quantum Ising models. In: Proceedings of the 5th Prague Summer School, LNM. Springer, Berlin (2008)
    • (2008) Proceedings of the 5th Prague Summer School
    • Ioffe, D.1
  • 15
    • 52149110414 scopus 로고    scopus 로고
    • Long range order and giant components of quantum random graphs
    • 3
    • D. Ioffe A. Levit 2007 Long range order and giant components of quantum random graphs Mark. Proc. Rel. Fields 13 3 469 492
    • (2007) Mark. Proc. Rel. Fields , vol.13 , pp. 469-492
    • Ioffe, D.1    Levit, A.2
  • 17
    • 0007276605 scopus 로고
    • Quasi-state decompositions for quantum spin systems in Probability Theory and Mathematical Statistics
    • VSP/TEV Utrecht, Tokyo, Vilnius
    • Nachtergaele, B.: Quasi-state decompositions for quantum spin systems in Probability Theory and Mathematical Statistics. In: Grigelionis, B., et al. (eds.) Proceedings of the 6th Vilnius Conference, pp. 565-590. VSP/TEV, Utrecht, Tokyo, Vilnius (1994)
    • (1994) Proceedings of the 6th Vilnius Conference , pp. 565-590
    • Nachtergaele, B.1    Grigelionis, B.2
  • 18
    • 84861458216 scopus 로고
    • A stochastic geometric approach to quantum spin systems
    • In: Probability and Phase transition, Cambridge, 1993. Kluwer Acad. Publ., Dordrecht
    • Nachtergaele, B.: A stochastic geometric approach to quantum spin systems. In: Probability and Phase transition, Cambridge, 1993. NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 420, pp. 237-246. Kluwer Acad. Publ., Dordrecht (1994)
    • (1994) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. , vol.420 , pp. 237-246
    • Nachtergaele, B.1
  • 19
    • 0003593972 scopus 로고
    • Field theory, disorder and simulations
    • World Scientific, River Edge
    • Parisi, G.: Field theory, disorder and simulations. In: World Scientific Lecture Notes in Physics, vol. 49, World Scientific, River Edge (1992)
    • (1992) World Scientific Lecture Notes in Physics , vol.49
    • Parisi, G.1
  • 20
    • 0004313816 scopus 로고    scopus 로고
    • Spin glasses: A challenge for mathematicians
    • A Series of Modern Surveys in Mathematics. Springer, Berlin
    • Talagrand, M.: Spin Glasses: A Challenge for Mathematicians. Cavity and Mean Field Models. A Series of Modern Surveys in Mathematics, vol. 46. Springer, Berlin (2003)
    • (2003) Cavity and Mean Field Models , vol.46
    • Talagrand, M.1
  • 21
    • 33645683399 scopus 로고    scopus 로고
    • The Parisi formula
    • 1
    • M. Talagrand 2006 The Parisi formula Ann. Math. (2) 163 1 221 263
    • (2006) Ann. Math. (2) , vol.163 , pp. 221-263
    • Talagrand, M.1
  • 22
    • 85204077236 scopus 로고
    • A duality principle for non-convex optimization in the calculus of variations, F.M.R.I. (University of Essex)
    • Toland, J.F.: A duality principle for non-convex optimization in the calculus of variations, F.M.R.I. (University of Essex), Arch. Rational Mech. Analysis (1979)
    • (1979) Arch. Rational Mech. Analysis
    • Toland, J.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.